Search for dissertations about: "Quaternion algebra"

Found 4 swedish dissertations containing the words Quaternion algebra.

  1. 1. Quaternion Orders and Ternary Quadratic Forms Orders of Class Number One and Representations of Algebraic Integers by Quadratic Forms

    Author : Elise Björkholdt; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Keywords : quaternion order; ternary quadratic form; class number; even Clifford algebra; quaternion algebra; embedding number; 11E12; 16H05; 11E20; 11E25; 11E88; even Clifford algebra;

    Abstract : Let R be the ring of integers in a totally real quadratic field K. The purpose of the thesis is to study totally definite quaternion R-orders and representations of elements in R by totally positive definite integral ternary quadratic forms. The thesis consists of three papers. READ MORE

  2. 2. Ghosts and machines : regularized variational methods for interactive simulations of multibodies with dry frictional contacts

    Author : Claude Lacoursière; Bo Kåggström; Ander Klarbring; Umeå universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Discrete mechanics; Variational method; Contact problems; Impacts; Least action principle; Saddle point problems; Lagrange Multipliers; Constrained systems; Multibody Systems; Numerical regularization; Constraint realization; Constraint stabilization; Dry friction; Differential Algebraic Equations; Nonsmooth problems; Linear Complementarity; Quaternion algebra; Numerical linear algebra; Physics modeling; Interactive simulation; Numerical stability; Rigid body dynamics; Dissipative systems; Computational physics; Beräkningsfysik;

    Abstract : A time-discrete formulation of the variational principle of mechanics is used to provide a consistent theoretical framework for the construction and analysis of low order integration methods. These are applied to mechanical systems subject to mixed constraints and dry frictional contacts and impacts---machines. READ MORE

  3. 3. Ternary quadratic forms over algebraic integers

    Author : Elise Björkholdt; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Keywords : ternary quadratic form; quaternion order; even Clifford algebra; quaternation algebra; embedding number; quaternion order;

    Abstract : .... READ MORE

  4. 4. On Quaternionic Shimura Surfaces

    Author : Håkan Granath; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Keywords : Shimura surface; quaternion order; Clifford algebra; hermitian form; Kodaira classification; Matematik; Mathematics; Shimura surface;

    Abstract : .... READ MORE